New congruences for $\ell$-regular overpartitions
Number Theory
2017-06-12 v3 Combinatorics
Abstract
Recently, Shen (2016) and Alanazi et al. (2016) studied the arithmetic properties of the -regular overpartition function , which counts the number of overpartitions of into parts not divisible by . In this note, we will present some new congruences modulo when is a power of .
Keywords
Cite
@article{arxiv.1603.08660,
title = {New congruences for $\ell$-regular overpartitions},
author = {Shane Chern},
journal= {arXiv preprint arXiv:1603.08660},
year = {2017}
}